Abstract
This paper is concerned with the Boussinesq system with a damping term and the homogeneous Dirichlet boundary conditions in 3D bounded domains. For a certain range of parameters, we prove that the weak solution is unique if the temperature belongs to \(L^{\infty }(0,T;L^{3}(\Omega ))\). Also, the global existence of strong solutions to the problem is proved.
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The authors would like to thank the anonymous reviewers and editors for their valuable comments and suggestions which led to the improvement of the original manuscript.
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Kim, YH., Li, KO. & Kim, CU. Uniqueness and regularity for the 3D Boussinesq system with damping. Ann Univ Ferrara 67, 149–173 (2021). https://doi.org/10.1007/s11565-020-00351-5
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DOI: https://doi.org/10.1007/s11565-020-00351-5